Fetching the paper…
Reading the bibliography…
Stein's method for measuring convergence to a continuous target distribution relies on an operator characterizing the target and Stein factor bounds on the solutions of an associated differential equation.
Étude de quelques algèbres tayloriennes
G. Glaeser · 1958
Earlier work this paper cites.
Markov Processes : Volume 1
E. Dynkin · 1965
Earlier work this paper cites.
A bound for the error in the normal approximation to the distribution of a sum of dependent random variables
C. Stein · 1972
Earlier work this paper cites.
Calculation of the Wasserstein distance between probability distributions on the line
S. Vallender · 1974
Earlier work this paper cites.
Stochastic differential equations and applications. Vol. 1
A. Friedman · 1975
Earlier work this paper cites.
Bayesian and Non-Bayesian analysis of the regression model with multivariate student-t error terms
A. Zellner · 1976
Earlier work this paper cites.
Time-reversible diffusions
J. Kent · 1978
Earlier work this paper cites.
Multivariate normal approximation using exchangeable pairs
S. Chatterjee and E. Meckes · 1980
Earlier work this paper cites.
Generalised P-representations in quantum optics
P. D. Drummond and C. W. Gardiner · 1980
Earlier work this paper cites.
Quantum theory of optical bistability. I. Nonlinear polarisability model
P. D. Drummond and D. F. Walls · 1980
Earlier work this paper cites.
There is a Planar Graph Almost As Good As the Complete Graph
P. Chew · 1986
Earlier work this paper cites.
Markov processes
S. N. Ethier and T. G. Kurtz · 1986
Earlier work this paper cites.
The second order Langevin equation and numerical simulations
A. Horowitz · 1987
Earlier work this paper cites.
Stein’s method and Poisson process convergence
A. D. Barbour · 1988
Earlier work this paper cites.
Graph spanners
D. Peleg and A. Schäffer · 1989
Earlier work this paper cites.
Stein’s method for diffusion approximations
A. D. Barbour · 1990
Earlier work this paper cites.
On the rate of convergence in the multivariate CLT
F. Götze · 1991
Earlier work this paper cites.
Accelerating Gaussian diffusions
C. Hwang, S. Hwang-Ma, and S. Sheu · 1993
Earlier work this paper cites.
Gibbs sampler convergence criteria
A. Zellner and C. Min · 1995
Earlier work this paper cites.
Bayesian robust multivariate linear regression with incomplete data
C. Liu · 1996
Earlier work this paper cites.
The Fokker-Planck Equation: Methods of Solutions and Applications
H. Risken · 1996
Earlier work this paper cites.
Exponential convergence of Langevin distributions and their discrete approximations
G. Roberts and R. Tweedie · 1996
Earlier work this paper cites.
Integral probability metrics and their generating classes of functions
A. Müller · 1997
Earlier work this paper cites.
Convection–diffusion equation with space–time ergodic random flow
C. Landim, S. Olla, and H. Yau · 1998
Earlier work this paper cites.
Applications of Malliavin calculus to Monte Carlo methods in finance
E. Fournié, J. Lasry, J. Lebuchoux, P. Lions, and N. Touzi · 1999
Earlier work this paper cites.
Functions of bounded variation and free discontinuity problems
L. Ambrosio, N. Fusco, and D. Pallara · 2000
Earlier work this paper cites.
One-parameter semigroups for linear evolution equations , volume 194 of Graduate Texts in Mathematics
K. Engel and R. Nagel · 2000
Earlier work this paper cites.
Second order PDE’s in finite and infinite dimension: a probabilistic approach , volume 1762
S. Cerrai · 2001
Earlier work this paper cites.
On the Poisson equation and diffusion approximation. i
E. Pardoux and A. Veretennikov · 2001
Earlier work this paper cites.
Foundations of modern probability
O. Kallenberg · 2002
Earlier work this paper cites.
Langevin diffusions and Metropolis-Hastings algorithms
G. O. Roberts and O. Stramer · 2002
Earlier work this paper cites.
Multiple View Geometry in Computer Vision
R. Hartley and A. Zisserman · 2004
Earlier work this paper cites.
A multivariate CLT for decomposable random vectors with finite second moments
M. Raič · 2004
Cited alongside, same era.
Use of exchangeable pairs in the analysis of simulations
C. Stein, P. Diaconis, S. Holmes, and G. Reinert · 2004
Cited alongside, same era.
Conditional path sampling of SDEs and the Langevin MCMC method
A. Stuart, J. Voss, P. Wilberg, et al · 2004
Cited alongside, same era.
Stochastic integration and differential equations , volume 21 of Stochastic Modelling and Applied Probability
P. Protter · 2005
Cited alongside, same era.
Output assessment for Monte Carlo simulations via the score statistic
Y. Fan, S. P. Brooks, and A. Gelman · 2006
Cited alongside, same era.
A kernel method for the two-sample-problem
A. Gretton, K. Borgwardt, M. Rasch, B. Schölkopf, and A. Smola · 2006
Semi log-concave Markov diffusions
P. Cattiaux and A. Guillin · 2014
Later among the works it cites.
Bayesian data analysis
A. Gelman, J. Carlin, H. Stern, D. Dunson, A. Vehtari, and D. Rubin · 2014
Later among the works it cites.
Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions
M. Hairer, A. Stuart, and S. Vollmer · 2014
Later among the works it cites.
Austerity in MCMC land: Cutting the Metropolis-Hastings budget
A. Korattikara, Y. Chen, and M. Welling · 2014
Later among the works it cites.
Stochastic processes and applications , volume 60 of Texts in Applied Mathematics
G. A. Pavliotis · 2014
Later among the works it cites.
Irreversible Langevin samplers and variance reduction: a large deviation approach
L. Rey-Bellet and K. Spiliopoulos · 2014
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Fast construction of nets in low-dimensional metrics and their applications
S. Har-Peled and M. Mendel · 2006
Cited alongside, same era.
Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized burgers equations
M. Röckner, Z. Sobol, et al · 2006
Cited alongside, same era.
Periodic homogenization problems in incompressible fluid equations
C. Conca and M. Vanninathan · 2007
Cited alongside, same era.
Small Manhattan Networks and Algorithmic Applications for the Earth Movers Distance
J. Gudmundsson, O. Klein, C. Knauer, and M. Smid · 2007
Cited alongside, same era.
An introduction to interpolation theory
A. Lunardi · 2007
Cited alongside, same era.
Kolmogorov operators in spaces of continuous functions and equations for measures
L. Manca · 2008
Cited alongside, same era.
Later among the works it cites.
Consistency and fluctuations for stochastic gradient Langevin dynamics
Y. Teh, A. Thiéry, and S. Vollmer · 2014
Later among the works it cites.
Reflection couplings and contraction rates for diffusions
A. Eberle · 2015
Later among the works it cites.
Measuring sample quality with Stein’s method
J. Gorham and L. Mackey · 2015
Later among the works it cites.
Sequential kernel herding: Frank-Wolfe optimization for particle filtering
S. Lacoste-Julien, F. Lindsten, and F. Bach · 2015
Later among the works it cites.
Computing in operations research using Julia
M. Lubin and I. Dunning · 2015
Later among the works it cites.
A complete recipe for stochastic gradient MCMC
Y. Ma, T. Chen, and E. Fox · 2015
Later among the works it cites.
Gurobi optimizer reference manual, 2015
G. Optimization · 2015
Later among the works it cites.
A kernel test of goodness of fit
K. Chwialkowski, H. Strathmann, and A. Gretton · 2016
Closest in time.
Variance reduction using nonreversible Langevin samplers
A. B. Duncan, T. Lelievre, and G. Pavliotis · 2016
Closest in time.
Rates of convergence in normal approximation under moment conditions via new bounds on solutions of the stein equation
R. E. Gaunt · 2016
Closest in time.
Stein variational gradient descent: A general purpose bayesian inference algorithm
Q. Liu and D. Wang · 2016
Closest in time.
A kernelized Stein discrepancy for goodness-of-fit tests
Q. Liu, J. Lee, and M. Jordan · 2016
Closest in time.
Multivariate Stein factors for a class of strongly log-concave distributions
L. Mackey and J. Gorham · 2016
Closest in time.
Control functionals for Monte Carlo integration
C. J. Oates, M. Girolami, and N. Chopin · 2016
Closest in time.
Operator variational inference
R. Ranganath, D. Tran, J. Altosaar, and D. Blei · 2016
Closest in time.
Exploration of the (non-)asymptotic bias and variance of stochastic gradient langevin dynamics
S. Vollmer, K. Zygalakis, and Y. Teh · 2016
Closest in time.
Exponential Contraction in Wasserstein Distances for Diffusion Semigroups with Negative Curvature
F. Wang · 2016
Closest in time.
Dirichlet approximation of equilibrium distributions in Cannings models with mutation
H. L. Gan, A. Röllin, and N. Ross · 2017
Closest in time.
Measuring sample quality with kernels
J. Gorham and L. Mackey · 2017
Closest in time.
Quantifying the accuracy of approximate diffusions and Markov chains
J. Huggins and J. Zou · 2017
Closest in time.
Stein’s method for comparison of univariate distributions
C. Ley, G. Reinert, and Y. Swan · 2017
Closest in time.
Black-box Importance Sampling
Q. Liu and J. Lee · 2017
Closest in time.
Stein points
W. Y. Chen, L. Mackey, J. Gorham, F.-X. Briol, and C. Oates · 2018
Closest in time.
Multivariate approximations in wasserstein distance by stein’s method and bismut’s formula
X. Fang, Q.-M. Shao, and L. Xu · 2018
Closest in time.
Random feature Stein discrepancies
J. H. Huggins and L. Mackey · 2018
Closest in time.